A moving mesh finite element algorithm for singular problems in two and three space dimensions
type: Item
instance of: scholarly article
title: A moving mesh finite element algorithm for singular problems in two and three space dimensions
zbMATH Open document ID: 0998.65105
author: Ruo Li
author: Tao Tang
author: Pingwen Zhang
published in: Journal of Computational Physics
publication date: 2002-06-26T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65M50
zbMATH DE Number: 1760792
zbMATH Keywords: finite element method
zbMATH Keywords: moving mesh method
zbMATH Keywords: harmonic map
zbMATH Keywords: optimization
zbMATH Keywords: Hamilton-Schoen-Yau theory
zbMATH Keywords: mesh adaptation
MaRDI profile type: Publication
full work available at URL: jcph.2002.7002
OpenAlex ID: W2063446817
cites work: A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
cites work: Variational Barrier Method of Adaptive Grid Generation in Hyperbolic Problems of Gas Dynamics
cites work: Application of adaptive grids in numerical analysis of time-dependent problems in gas dynamics
cites work: Q4315909
cites work: On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
cites work: A moving mesh finite element method for the solution of two-dimensional Stefan problems
cites work: An adaptive grid with directional control
cites work: Adaptive zoning for singular problems in two dimensions
cites work: An \(r\)-adaptive finite element method based upon moving mesh PDEs
cites work: Design and Application of a Gradient-Weighted Moving Finite Element Code II: in Two Dimensions
cites work: An efficient dynamically adaptive mesh for potentially singular solutions
cites work: An adaptive mesh algorithm for evolving surfaces: simulations of drop breakup and coalescence
cites work: Simple adaptive grids for 1-D initial value problems
cites work: Adaptive grid generation from harmonic maps on Riemannian manifolds
cites work: Harmonic Mappings of Riemannian Manifolds
cites work: Harmonic maps of manifolds with boundary
cites work: Adaptive triangulation of evolving, closed, or open surfaces by the advancing-front method
cites work: Moving mesh methods in multiple dimensions based on harmonic maps
cites work: A study of regularity problem of harmonic maps
cites work: Q4288732
cites work: An Adaptive Grid Method and Its Application to Steady Euler Flow Calculations
cites work: Moving Finite Elements. I
cites work: Adaptive local overlapping grid methods for parabolic systems in two space dimensions
cites work: Q3919371
cites work: An iterative grid redistribution method for singular problems in multiple dimensions
cites work: On univalent harmonic maps between surfaces
cites work: A moving mesh method for one-dimensional hyperbolic conservation laws
cites work: Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
cites work: A New Moving Mesh Algorithm for the Finite Element Solution of Variational Problems
cites work: Analysis of an algorithm for generating locally optimal meshes for 𝐿₂ approximation by discontinuous piecewise polynomials
DOI: 10.1006/JCPH.2002.7002
description: scientific article; zbMATH DE number 1760792